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Finding the Fourth Proportional to 207,993.30, 311,965.86 and 58,245.60

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Solution

The fourth proportional to 207,993.30, 311,965.86 and 58,245.60 is: 87,361.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,993.30 : 311,965.86 = 58,245.60 : x
  2. Step 2: Convert to fraction form
    207,993.30/311,965.86 = 58,245.60/x
  3. Step 3: Cross multiply
    207,993.30x = 311,965.86 × 58,245.60
  4. Step 4: Simplify right side
    207,993.30x = 18,170,638,695.22
  5. Step 5: Solve for x
    x = 18,170,638,695.22/207,993.30
  6. Step 6: Final answer
    x = 87,361.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.